physics i unit 1 motion kinematics one – dimensional motion / java applets
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PHYSICS IUNIT 1 Motion
Kinematics One – Dimensional Motion
http://www.walter-fendt.de/ph14e/
JAVA APPLETS
http://higheredbcs.wiley.com/legacy/college/halliday/0471320005/simulations6e/index.htm?newwindow=true
WILEY APPLETS
Lesson One Motion chap 2 Objectives
Using Position vs. Time Graphs
Using Data Calculate:
Average Velocities Average
Accelerations
Homework Problems pg 52 #’s 43 – 50 ALL Problems pg 52 #’s 51 – 61 ODD
UNIT 1 Lesson 1
Do Now!Men’s USA runner Maurice Greene won the gold in the 100 meter sprint with a time of 9.87 s. What was his average velocity?
Honor:If his initial velocity was 0, what was his average acceleration?
Definition of Speed
Speed is the distance traveled per unit of time (a scalar quantity).
Speed is the distance traveled per unit of time (a scalar quantity).
vs = = d
t
20 m
4 s
vs = 5 m/svs = 5 m/s
Not direction dependent!
A
Bd = 20 m
Time t = 4 s
UNIT 1 Lesson 1
Definition of VelocityVelocity is the displacement per unit of time. (A vector quantity.)
Velocity is the displacement per unit of time. (A vector quantity.)
Direction required!
A
Bs = 20 m
Time t = 4 s
Δx=12 m
20o
= 3 m/s at 200 N of E
= 3 m/s at 200 N of E
UNIT 1 Lesson 1
Lesson # 1
In Class
Equations of one- dimensional motion page 51
Answer Review Concepts page 39 practice problems #’s 9 – 13
PRACTICE / DEMO
Cart Rolling down Ramp Measure Displacement Measure Time Calculate Average Velocity
Position vs. Time http://
webphysics.davidson.edu/physlet_resources/physlet_physics/contents/mechanics/one_d_kinematics/default.html
Constant Acceleration vs. Time
http://webphysics.davidson.edu/physlet_resources/physlet_physics/contents/mechanics/one_d_kinematics/default.html
UNIT 1 Lesson 1
The BIG 5 Chap 3 Objectives
Utilize THE BIG FIVE EQUATIONS!!!Equations on Page 79 (Chapter 3)
Each student should be able to solve for :
Vf
when Vi, ,a and t are known Vi
when, Vf ,a and d are known d when Vf , Vi and t are known d when a , Vi and t are known a when d , Vi , Vf and t are known
Homework Summary Sheet chap 3 terms, Solving for -Average Velocity-Acceleration, Final Velocity Page 61 & 64 Practice Problems 1 – 10 ALL
UNIT 1 Lesson 2
Do Now!Navy jets launch from aircraft carriers using catapults go from 0 to launch speed in 175 feet (5.334X 101 m) in 2.15 sec. What is the average velocity as it travels down the catapult?How far has it traveled at 1.10 seconds?
Vf2 = V0
2 + 2aΔd
E.g. A train accelerates from 10 m/s to 40 m/s at an acceleration of 1m/s 2. what distance does it cover during this time.
Using V2 = V02 + 2aΔs, we sub in values 40 for V,
10 for V0 and 1 for a. Re-arranging to solve for s, we get:
ΔS = 750 m With Significant Digits ΔS = 800 m
UNIT 1 Lesson 2
d = V0Δt + 0.5 a Δt2
E.g. A body starts from rest at a uniform acceleration of 3 m/s2. how long does it take to cover a distance of 100m.
Using d = V0Δt + 0.5 a Δt2, we sub in values 3 for a, 0 for V0 and 100 for s. Re-arranging the equation and
solving for t (using the quadratic formula), we get: t = 8.51 or -8.51 seconds. As time cannot be negative, t
= 8.51 seconds.
t = 9 seconds
UNIT 1 Lesson 2
d = Vavg * t = (V0 + Vf)/2 × t
A car decelerates from 20.0 m/s to 10.0 m/s over a period of 10.0 seconds. How far does it travel during this time period.
Using d = (V0 + Vf)/2 × t, we sub in values
20.0 for V0, 10.0 for Vf and 10.0 for t.
Solving for s, we get: d = 150m
UNIT 1 Lesson 2
Note:
All units must be converted such that they are uniform for different variable throughout the calculations.
Time seconds Distance meters Velocity m/s Acceleration m/s2
Kinematic quantities (except time) are VECTORS and can be negative.
UNIT 1 Lesson 2
In Class Pages 60 – 63 Examples 1 and 2
PRACTICE / DEMO
Motion with Constant Acceleration
http://www.walter-fendt.de/ph14e/acceleration.htm
UNIT 1 Lesson 2
Summary Sheet chap 3 terms, Solving for -Average Velocity-Acceleration, Final VelocityPage 61 & 64Practice Problems 1 – 10 ALL
REVIEW LAB I {F-150} Work Sheet
HOMEWORK
Data Tables and Graphs Objectives
Calculate:Average Velocities from data tables (and graphs)
Calculate: Average Accelerations from data tables (and graphs) Homework
Pg: 65 - 71 Practice
Problems #19, 22, 25, 27
32 #41
UNIT 1 Lesson 3
Do Now!What is the average acceleration of the A-6 Intruder as it travels down the catapult from 0 to 150 Knots (7.62 X 101 m/s) in 2.15 seconds?
1 2 3 40
1
2
3
4
5
6
7
8
9
No Motion (zero velocity)Uniform Motion (constant veloc-ity)Accelerated Mo-tion (Increasing/changing veloc-ity)
time, t (s)
position
x, (m)
Position vs. time graph (velocity)
UNIT 1 Lesson 3
1 2 3 40
1
2
3
4
5
6
7
8
9
Uniform Motion (zero Acceleation)Uniform Acceleration (constant accelera-tion)Decreasing Accelera-tion
time, t (s)
velocity
v, (m/s)
velocity vs. time graph (acceleration)
UNIT 1 Lesson 3
Graphical Analysis
Dx
Dt
x2
x1
t2t1
2 1
2 1avg
x x xv
t t t
( 0)inst
xv t
t
Dx
Dt
Time
slope
Dis
pla
cem
en
t,
x
Average Velocity: Instantaneous Velocity:
UNIT 1 Lesson 3
Uniform Acceleration in One Dimension:
Motion is along a straight line (horizontal, vertical or slanted).
Changes in motion result from a CONSTANT force producing uniform acceleration.
The velocity of an object is changing by a constant amount in a given time interval.
The moving object is treated as though it were a point particle.
UNIT 1 Lesson 3
Example 6: An airplane flying initially at 400 ft/s lands on a carrier deck and stops in a distance of 300 ft. What is the acceleration?
Δx = 300 ft
vo = 400 ft/svf = 0
+
Step 1. Draw and label sketch.
Step 2. Indicate + direction
Example: (Cont.)
+
Step 3. List given; find information with signs.
Given: vo = 400 ft/s - initial velocity of airplane
v = 0 - final velocity after traveling Δx = +300 ft
Find: a = ? - acceleration of airplane
Δx = 300 ft
vo = 400 ft/s
vf = 0
Step 4. Select equation that contains a and not t.
vf2 - vo
2 = 2aΔx0
a = = -vo
2
2x
-(400 ft/s)2
2(300 ft)
a = - 300 ft/s2 a = - 300 ft/s2Why is the acceleration negative?
Because Force is in a negative direction which means that the airplane slows down
Given: vo = +400 ft/s
v = 0
Δx = +300 ft
Lesson #Velocity LAB Objectives
Measuring times of roll Calculate
THE ACCELERATION THE VELOCITIES
OF AN F-150 ROLLING DOWN THE ACADEMIC WING HILL.
Homework Complete LAB 1 BRING LAPTOP with
“EXCEL” for next class
UNIT 1 Lesson 4
Lab Review - ExcelObjectives
Utilizing Excel Plot Data and
obtain Graphs of: Position vs. Time Velocity vs. time Acceleration vs.
timeHomeworkOn Excel create a graph that shows a Lacrosse ball falling at a constant acceleration of 9.8 m/s2 for 30 seconds.
..\..\Physics I LABs\Motion\CarA vs Car B Graphs and data tables.xls
UNIT 1 LESSON 5
Do Now!By Team swap labs Check Data and Calculations
Read Results and Conclusion sections
Evaluate Effort using EEMO
Aaaaaaaah!Free Fall Objectives
Be able to utilize the BIG 5 Equations to calculate: Velocity Displacement
of a falling {NO Friction} object on EarthHomework
Page 74 Practice Problems #’s 42 – 46
Section Review #’s 47 Page 82 #’s 97, 100, 101
UNIT 1 Lesson 6
Do Now! A lacrosse ball is dropped and falls from the BIW Crane. If the Cranes is 350.0 ft tall (107.7 meters). How long will it take the ball to hit the ground?What will the velocity be?
Sign Convention: A Ball Thrown
Vertically Upward
• Velocity is positive (+) or negative (-) based on direction of motion.
• Velocity is positive (+) or negative (-) based on direction of motion.
• Displacement is positive (+) or negative (-) based on LOCATION.
• Displacement is positive (+) or negative (-) based on LOCATION.
Release Point
UP = +
• Acceleration is (+) or (-) based on direction of force (weight).
y = 0
y = +
y = +
y = +
y = 0
y = -Negative
v = +
v = 0
v = -
v = -
v= -Negative
a = -
a = -
a = -
a = -
a = -
In Class
Page 74 Practice Problems #’s 42 – 46
Section Review #’s 47
Page 82 #’s 97, 100, 101
PRACTICE / DEMO
Free Fall http://
higheredbcs.wiley.com/legacy/college/halliday/0471320005/simulations6e/index.htm?newwindow=true
Free Fall- 2 http://
www.walter-fendt.de/ph14e/acceleration.htm
UNIT 1 Lesson 6
LAB 2 Calculate Gravitational - Acceleration in BATH, ME
Objectives
Be able to utilize the BIG 5 Equations to calculate: Velocity Displacement Acceleration
of a moving object
Homework Finish LAB REPORT Typed
UNIT 1 Lesson 7
Do Now! 2 minutes A lacrosse ball is dropped and falls from the BIW Crane. If the Cranes is 350.0 ft tall (107.7 meters). How long will it take the ball to hit the ground?What will the velocity be?
You must know how to do these actions:
Calculate Average Velocities from data
Calculate Average Accelerations from data
Calculate times and distances given Average Velocities & Accelerations
Calculate Average Velocities & Accelerations given times and distances
Calculate and / or measure Average Velocities from data tables (and graphs)
Calculate and / or measure Average Accelerations from data tables (and graphs)
Calculate Acceleration due to gravity of an object in free fall
Calculate an objects velocity in free fall
Constant Acceleration
MotionDO NOW:What is the gravitational Acceleration in Bath, ME? Would it be larger or smaller on Mount Everest? Why?
UNIT 1 Lesson 8
In Class / Homework:
Page 82 – 83 #’s 103, 107,
108, 109, 110, 111, 11, 113
REVIEWTest Lesson 10
UNIT 1 Lesson 8
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